Question 9 of 10 < > Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e²³ dx = +C

Q: For the polynomial function f(x) = = (3x² + 5)² (x² + 7), answer the following questions. (a) List…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: b. C. 8 x3 x5+2 d. So 8 dx √₂ √x²-x dx dx x+√x

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Q: In preparation for the NEXT problem, find the derivative of the SINGLE VARIABLE function. h(x) =…

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Q: Establish the identity. 2 sec 0 csc 0 + 3 sin 0 cos 0 5 tan 0 Write the left side of the identity in…

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Q: Evaluate the integral fe³* cos(2x) dx O(3e³ cos2x - 2e³ sin2x) + C O(3e³ cos2x+2e³ sin2x) + C 13…

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Q: Use implicit differentiation to find dy/dx. 7. x²y + xy² = 6

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Q: write a differential formula that estimates the given change in volume or surface area. then use the…

A: The volume of the sphere is .The aim is to find,The change in volume when the radius changes from…

Q: Find the Taylor polynomial of degree 3, centered at a = 1 for the function f(x) = √x + 5.

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Q: When using the Richter scale, all earthquakes are compared to a zero-level earthquake whose…

A: When using the Richter scale, all earthquakes are compared to a zero-level earthquake whose…

Q: Find the average value, fave, of the function f(x) = x³ on the interval [-1,3]. O 20 05 O None of…

A: need to know the formula for average value of   a function

Q: Provide your answer below: p'(x) =

A: Given that the expression

Q: Compute the area of one loop of the polar curve given by r = 4sin(50). (Hint: Start by determining…

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Q: Use implicit differentiation to find dy/dx. 8. x³ – xy + y³ = 1 -

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is…

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Q: At the beginning of 2000 Mark's house was worth 222 thousand dollars and Randall's house was worth…

A: An exponential function is given by where,  are constants.

Q: 15) Find S X √9+8x²-x² dx

A: We need to determine indefinite integral.

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: According to our bartleby expert guidelines only first three subparts are to be answered kindly…

Q: Question 4 of 10 Evaluate the integral [(8 + sint) ³ cost dt using the substitution u = 8 + sint.…

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Q: 7) Find the relative extrema of the function f(x) = sin² x+sinx in the interval [0,2π].

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

Q: Dylan's body metabolizes caffeine at a rate of 12.8% per hour (so the amount of caffeine in Dylan's…

A: Given in the question, Dylan's body metabolizes caffeine at a rate of 12.8% per hour.

Q: Let f be the function defined by f(x) following statements are true? 1. The graph of f has a…

A: Consider the function

Q: ) Rectangular bathtub has a fixed height of 10ft. The length of the bathtub is increasing at a rate…

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Q: Find af ах af ду af дz Әх af af af af and I Әх ду дz Find their values at (0, -1, 1) if possible.…

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Q: -1⁰+ Given the graph of f (x) shown above, evaluate lim f (x). X-3 Select the correct answer below:

A: given graph of f(x) to find the limit

Q: The function h is defined by h(x) following statements must be true? A (В B (C) D lim h(x) x→4- lim…

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Q: 2 lim 9x² (e-3/x²-1) = X→∞ (Simplify your answer.)

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Q: Find the two values of k for which y(x) = eka is a solution of the differential equation y"-11y+30y…

A: Given Differential equation is as follows

Q: triangular plot of land has one side along a straight road measuring 125 feet. A second side makes a…

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Q: Let D be the square in the x, y-plane with vertices (1,0), (0, 1), (0, -1), and (-1,0). (A)…

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Q: Calculate the following integrals with the one-slice trapezoidal method. Calculate to 3 digits…

A: Let, the given integral is    .The trapezoidal method formula where    .

Q: differentiation to find note x > 0 Use logarithmic y=x√x² + 1 dx

A: Given :

Q: Below is the graph of f(x) = 5x³ - 4 and the line y = 3x + 7. Graph a line tangent to the graph of f…

A: The given equation of function is  and equation of line

Q: Graph and shade the solution set to the given system of inequalities in the XY- plane. In your…

A: Given system of inequalities are A solid line indicates the inclusion of curve where as a dashed…

Q: e) k(x) = (2x-1) ³x

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Q: 22. A light shines from the top of a pole 15 m high. A ball is dropped from the same height from a…

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Q: f(x) = 3x5 f'(x) = 2 이집

A: Given that the function

Q: Determine q'(x) when q(x) = 8(4¹) X4 Sorry, that's incorrect. Try again? q'(x) = |

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Q: Question The graph of f(x) is given below. Select all of the true statements about the continuity of…

A: we say a function f(x) is continuous at x=a if the limit of f(x) at x=a is equal to f(a) that is…

Q: Find the exact length of the polar curve Length = r=3 sin (0), 0≤0 ≤ π/3.

A: To find the exact length of the polar curve.

Q: Find the horizontal asymptote, if it exists, of the rational function below. If the function does…

A: g(x)=(-9-x) (-3-4x) /(6x2+1)According to the bartleby guidelines we solve only one question repost…

Q: Question Find the equation of the tangent line at the point (1, -3) to the curve defined implicitly…

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Q: Compute the area of the surface obtained by rotating the curve y = (1-x²/3)3/2 from x = 0 to x = 1…

A: Rotating the curve y=(1−x2/3)3/2 from x=0 to x=1 about the y-axis.y=(1−x2/3)3/2Chain…

Q: Find an equation for the hyperbola described below. Graph the equation by hand. Vertices at (0,-4)…

A: General equation of the hyperbola opens up and down

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[5…

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Q: Find a power series for the function, centered at c. 8 c = 3 3x + 2 f(x) = f(x) = = Σ n = 0…

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Q: A 5-foot ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

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Q: Given the equation: x² - 8x + y² + 4y = 1 Use completing the square method to convert this equation…

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Q: A company can charge a price of 88 dollars per unit when they sell 540 units. If the price increases…

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Q: If f'(x) = x, what is f(x)? (Remember the constant of integration.) 2 f(x) =

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